27401356200960 has 2640 divisors, whose sum is σ = 119053352309760. Its totient is φ = 6027268423680.

The previous prime is 27401356200947. The next prime is 27401356200973. The reversal of 27401356200960 is 6900265310472.

27401356200960 is a `hidden beast` number, since 2 + 7 + 4 + 0 + 1 + 356 + 200 + 96 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (27401356200947) and next prime (27401356200973).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 153080202151 + ... + 153080202329.

It is an arithmetic number, because the mean of its divisors is an integer number (45095966784).

Almost surely, 2^{27401356200960} is an apocalyptic number.

27401356200960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27401356200960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59526676154880).

27401356200960 is an abundant number, since it is smaller than the sum of its proper divisors (91651996108800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

27401356200960 is an frugal number, since it uses more digits than its factorization.

27401356200960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 27401356200960 in words is "twenty-seven trillion, four hundred one billion, three hundred fifty-six million, two hundred thousand, nine hundred sixty".